Lobachevskian Geometry

Lobachevskian geometry, also known as hyperbolic geometry, is a non-Euclidean framework where the usual rules of geometry don't apply as in flat spaces. In this geometry, through a point not on a line, there are infinitely many lines that don’t intersect the original line. This leads to unique properties, such as the sum of angles in a triangle being less than 180 degrees, and curved spaces being commonplace. Lobachevskian geometry has applications in various fields, including physics, art, and architecture, providing insight into the nature of space and structure.